Prepare the souvlaki: Combine the shallots, garlic, oregano, jalapeno, lemon juice and olive oil in a large resealable plastic bag. Add the pork, turn to coat, and refrigerate at least 3 hours or overnight.
Soak 12 to 16 wooden skewers in water, at least 20 minutes. Meanwhile, make the honeyed apricots: Bring the lime juice, wine, honey and shallot to a simmer in a small saucepan over medium heat. Add the apricots and cook until the mixture is syrupy, about 12 minutes.
Preheat a grill or grill pan to medium. Remove the pork from the marinade and thread 2 pieces onto each skewer. Grill until cooked through, 3 to 5 minutes per side.
Fold the mint and pine nuts into the apricot mixture. Serve the souvlaki with a dollop of yogurt and the apricot mixture.